SOLUTION: The area of a rectangle is 55m^2, and the length of the rectangle is 4 m less than three times the width. Find the dimensions of the rectangle.

Question 864727: The area of a rectangle is 55m^2, and the length of the rectangle is 4 m less than three times the width. Find the dimensions of the rectangle.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,



A = Lw = (3w-4)w = 55m^2

          3w^2 - 4w -55 = 0

         (3x + 11)(x-5) = 0   (Tossing out the negative solution for unit measure)

                   x = 5m  and L = 11m   

and..checking

 (5m)(11m) = 55m^2 

RELATED QUESTIONS

The area of a rectangle is 55m^2
, and the length of the rectangle is 4m
less than... (answered by anandtiwar62@gmail.com)
The area of a rectangle is 66m^2, and the length of the rectangle is 7m less than three... (answered by srinivas.g)
The length of a rectangle is 7yds
less than three times the width, and the area of the... (answered by TimothyLamb,josgarithmetic,MathTherapy)
The area of a rectangle is 77m^2, and the length of the rectangle is 10m less than three... (answered by josgarithmetic,ikleyn)
The area of a rectangle is 70 m^2, and the length of the rectangle is 11 m less than... (answered by josgarithmetic)
The Length of a rectangle is 1 m less than 4 times the width. Its area is 33m^2. Find the  (answered by josgarithmetic)
The length of a rectangle is 
4 m
 less than three times the width, and the area of the  (answered by ewatrrr)
The area of a rectangle is 55yds. squared, and the length of the rectangle is 4yds less... (answered by ewatrrr)
the length of a rectangle is 3 m less than five times the width .
the area of the... (answered by jojo14344)